On First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surface

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128025In this article we obtain a complete description of the congruences of lines in $\p^4$ of order one provided that the fundamental surface $F$ is non-reduced (and possibly reducible) at one of its generic points, and their classification under the hypothesis that $(F)_{\red}$ is smooth.10 pages, AMS-LaTeX; to appear in ``The Asian Journal of Mathematics''Algebraic GeometryPrimary 14M15, 14N15, Secondary 51N35On First Order Congruences of Lines in $\mathbb{P}^4$ with Generically Non-reduced Fundamental Surfacetext